On solutions of the two-component Camassa-Holm system

DOI10.1063/1.2234729zbMath1112.37067OpenAlexW1993345110MaRDI QIDQ3442015

Chao-Zhong Wu

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2234729

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (max. 100)

Darboux transformations and soliton-like solutions of a new system associated with the negative AKNS system ⋮ Discrete Analogues of a Negative Order AKNS Equation ⋮ Multisoliton solutions of the two-component Camassa-Holm equation and its reductions ⋮ Complex and coupled complex negative order AKNS equation ⋮ Multisoliton solutions of the two-component Camassa–Holm system and their reductions ⋮ Multi-soliton solutions of a two-component Camassa–Holm system: Darboux transformation approach ⋮ Darboux transformations of the Camassa-Holm type systems

Cites Work

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• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• The Camassa Holm equation: Conserved quantities and the initial value problem
• A two-component generalization of the Camassa-Holm equation and its solutions
• Clifford algebra derivations of tau-functions for two-dimensional integrable models with positive and negative flows
• Modulation of the Camassa-Holm equation and reciprocal transformations.
• The multiple-soliton solution of the Camassa-Holm equation
• On a Camassa–Holm type equation with two dependent variables
• On negative flows of the AKNS hierarchy and a class of deformations of a bihamiltonian structure of hydrodynamic type
• Breakdown of the Camassa-Holm equation
• An integrable shallow water equation with peaked solitons
• Some Water Wave Equations and Integrability
• The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE's of shallow water and Dym type

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